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The amount of money Tom has is 75% of Sallys amount of money. After Sally spent $120 and Tom saved all his money Tom's amount of money is 50% more than Sally's. How much Mony did each have at the beginning? Use a visual model and a percent line to solve the problem

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  1. 22 May, 23:57
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    Answer: sally initially has $240, Tom initially has $180.

    Step-by-step explanation:

    Let initial amount of money sally has = x

    Then, initial amount tom has = 75% * x = 0.75x

    Now to present,

    Amount sally has = x - 120

    Amount tom has = [x - 120] + [50% * (x-120) ]

    = x - 120 + 0.5x - 180

    = 1.5x - 180

    Since Tom didn't spend, it means this is the same amount tom has then we equate both equations.

    0.75x = 1.5x - 180

    180 = 0.75x

    x = 240

    Therefore, initial money of sally of sally = $240

    Initial money of tom = 240 * 0.75 = $180.
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